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Energy differences between frozen core and all electrons correlated.
MP2, MP3, MP4, B2PLYP, CCSD, and CCSD(T)

For AlH2- (aluminum dihydride anion)

Energies in Hartree
Methods with standard basis sets
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) cc-pVDZ cc-pVTZ aug-cc-pVTZ
Moller Plesset perturbation MP2=FULL -0.006631 -0.004469 -0.009677 -0.003301 -0.008558 -0.008901 -0.010120 -0.124693 -0.125061 -0.014489 -0.004964 -0.063676 -0.067925
MP3=FULL         -0.008453   -0.018045            
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) cc-pVDZ cc-pVTZ aug-cc-pVTZ